Question

A governor of state A earns 53,435 more than the governor of state B. If the total of their salaries is 290,395, find the salaries of each

Answer 1

Let A and B represent the governor's salaries of states A and B, respectively.

A - B = 53,435
A +B = 290,395

Add these two equations to eliminate B.
2A = 343,830
A = 171,915

B = A -53,435 = 118,480

The governor of state A has a salary of 171,915.
The governor of state B has a salary of 118,480.